Journal
IEEE TRANSACTIONS ON CYBERNETICS
Volume 49, Issue 7, Pages 2591-2604Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCYB.2018.2829487
Keywords
Fuzzy-model-based systems; mode-dependent average dwell time (ADT); multiple discontinuous Lyapunov function (MDLF); networked control systems (NCSs); packet losses; switched systems
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Funding
- Programme of Introducing Talents of Discipline to Universities (111 Project) [B17017]
- National Natural Science Foundation of China [5142203, 61525303]
- Shanghai Natural Science Foundation [14ZR1410000]
- Fok Ying Tung Education Foundation [141059]
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This paper is concerned with the stabilization problem of type-2 fuzzy systems with network-induced packet losses. By regarding the packet lost process as an unstable mode of a switched system, the stability of the system is then guaranteed with the aid of the mode-dependent average dwell time approach in the sense of the slow and fast switching. The discrete-time multiple discontinuous Lyapunov function is also utilized for the analysis. Two sufficient conditions regarding the stability and the stabilization of the system are proposed. The state-feedback matrices can be then calculated from the conditions to ensure the criterion that the packet-loss rate is no larger than a specific constant. Two practical examples are given to illustrate the feasibility and effectiveness of the proposed method.
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